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Finding the Fourth Proportional to 9,242.62, 13,858.26 and 4,313.32

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Solution

The fourth proportional to 9,242.62, 13,858.26 and 4,313.32 is: 6,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.62 : 13,858.26 = 4,313.32 : x
  2. Step 2: Convert to fraction form
    9,242.62/13,858.26 = 4,313.32/x
  3. Step 3: Cross multiply
    9,242.62x = 13,858.26 × 4,313.32
  4. Step 4: Simplify right side
    9,242.62x = 59,775,110.02
  5. Step 5: Solve for x
    x = 59,775,110.02/9,242.62
  6. Step 6: Final answer
    x = 6,467.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.